The bundle of joy is the third child for the actress. She already has two children, 14-year-old daughter Maya and 10-year-old son Levon, from her first marriage.

Uma and Arpad began dating in 2007 and got engaged before calling things off in November 2009. They rekindled their relationship at the Paris Fashion show in early 2011 and announced Thurman's most recent pregnancy in February of this year.

Here's hoping for a baby name before additional wedding deets. Any guesses?!